Issolvi (2a+1)^3-2a(2a+1)^2-(2a)^2-1

$$( 2 a + 1 ) ^ { 3 } - 2 a ( 2 a + 1 ) ^ { 2 } - ( 2 a ) ^ { 2 } - 1$$

Evalwa

$$4a$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} biex tespandi \left(2a+1\right)^{3}.

$$8a^{3}+12a^{2}+6a+1-2a\left(2a+1\right)^{2}-\left(2a\right)^{2}-1$$

Uża teorema binomjali \left(p+q\right)^{2}=p^{2}+2pq+q^{2} biex tespandi \left(2a+1\right)^{2}.

$$8a^{3}+12a^{2}+6a+1-2a\left(4a^{2}+4a+1\right)-\left(2a\right)^{2}-1$$

Espandi \left(2a\right)^{2}.

$$8a^{3}+12a^{2}+6a+1-2a\left(4a^{2}+4a+1\right)-2^{2}a^{2}-1$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$8a^{3}+12a^{2}+6a+1-2a\left(4a^{2}+4a+1\right)-4a^{2}-1$$

Uża l-propjetà distributtiva biex timmultiplika -2a b'4a^{2}+4a+1.

$$8a^{3}+12a^{2}+6a+1-8a^{3}-8a^{2}-2a-4a^{2}-1$$

Ikkombina 8a^{3} u -8a^{3} biex tikseb 0.

$$12a^{2}+6a+1-8a^{2}-2a-4a^{2}-1$$

Ikkombina 12a^{2} u -8a^{2} biex tikseb 4a^{2}.

$$4a^{2}+6a+1-2a-4a^{2}-1$$

Ikkombina 6a u -2a biex tikseb 4a.

$$4a^{2}+4a+1-4a^{2}-1$$

Ikkombina 4a^{2} u -4a^{2} biex tikseb 0.

$$4a+1-1$$

Naqqas 1 minn 1 biex tikseb 0.

$$4a$$

Espandi

$$4a$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(p+q\right)^{3}=p^{3}+3p^{2}q+3pq^{2}+q^{3} biex tespandi \left(2a+1\right)^{3}.

$$8a^{3}+12a^{2}+6a+1-2a\left(2a+1\right)^{2}-\left(2a\right)^{2}-1$$

Uża teorema binomjali \left(p+q\right)^{2}=p^{2}+2pq+q^{2} biex tespandi \left(2a+1\right)^{2}.

$$8a^{3}+12a^{2}+6a+1-2a\left(4a^{2}+4a+1\right)-\left(2a\right)^{2}-1$$

Espandi \left(2a\right)^{2}.

$$8a^{3}+12a^{2}+6a+1-2a\left(4a^{2}+4a+1\right)-2^{2}a^{2}-1$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$8a^{3}+12a^{2}+6a+1-2a\left(4a^{2}+4a+1\right)-4a^{2}-1$$

Uża l-propjetà distributtiva biex timmultiplika -2a b'4a^{2}+4a+1.

$$8a^{3}+12a^{2}+6a+1-8a^{3}-8a^{2}-2a-4a^{2}-1$$

Ikkombina 8a^{3} u -8a^{3} biex tikseb 0.

$$12a^{2}+6a+1-8a^{2}-2a-4a^{2}-1$$

Ikkombina 12a^{2} u -8a^{2} biex tikseb 4a^{2}.

$$4a^{2}+6a+1-2a-4a^{2}-1$$

Ikkombina 6a u -2a biex tikseb 4a.

$$4a^{2}+4a+1-4a^{2}-1$$

Ikkombina 4a^{2} u -4a^{2} biex tikseb 0.

$$4a+1-1$$

Naqqas 1 minn 1 biex tikseb 0.

$$4a$$